Question

A team of storm enthusiasts collected data to show the relationship between the time between seeing lightning and then hearing thunder, and how far away you are from the lightning. The results are in the graph below.

What is the constant of proportionality expressed as miles per second?
Answer: The constant of proportionality is _____________miles per second.

Answer 1

Proportionality constant =
`(1)/(5)`

Explanation:

From the graph attached,

Data set representing the relation between seeing lightning and the hearing thunder is,

{(15, 3), (25, 5), (35, 7), (45, 9)}

Since, Distance from lightening (d) ∝ Time between lightening and thunder (t)

d = kt

Here k = proportionality constant

k =
`(d)/(t)`

From the data set one point is (15, 3).

k =
`(3)/(15)`

k =
`(1)/(5)` miles per second

Therefore, proportionality constant is
`(1)/(5)` miles per second.